Pulse the chickpeas, garlic, half each of the scallions, cilantro and pickled peppers, the panko and cumin in a food processor until smooth, about 3 minutes. Form into 4 thin 3-inch patties.
Heat the vegetable oil in a large nonstick skillet over medium-high heat. Add the patties and cook until a golden crust forms, 3 to 4 minutes per side.
Meanwhile, whisk the yogurt with the pickled pepper brine in a medium bowl and season with salt. Toss the salad greens, chopped tomato and the remaining scallions and cilantro with half of the yogurt dressing in a large bowl.
Put the falafel patties on the sandwich thins; top with the sliced tomato and the remaining yogurt dressing and pickled peppers. Serve with the salad.